document.write( "Question 100029: in an evening, a sporting goods store sold twice as monay T-shirts as shorts. t-shirts are $9 each, and shorts are $14 each. The total amount of money taken in for both items was $256. Find the number of each that was sold ( using and method ). \n" ); document.write( "

Algebra.Com's Answer #72846 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Let x=number of shorts sold
\n" ); document.write( "(1) Amount of money taken in from shorts=14x
\n" ); document.write( "Then 2x=number of T-shirts sold
\n" ); document.write( "(2) Amount of money taken in from T-shirts=9*2x or 18x\r
\n" ); document.write( "\n" ); document.write( "Now we are told that (1)+(2)=$256. So our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "14x+18x=256 collect like terms\r
\n" ); document.write( "\n" ); document.write( "32x=256 divide both sides by 32\r
\n" ); document.write( "\n" ); document.write( "x=8----------------------------number of shorts sold\r
\n" ); document.write( "\n" ); document.write( "2x=2*8=16-----------------------number of T-shirts sold\r
\n" ); document.write( "\n" ); document.write( "CK\r
\n" ); document.write( "\n" ); document.write( "8*$14+16*9=$256
\n" ); document.write( "$112+$144=$256
\n" ); document.write( "$256=$256\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

\n" );